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Finding the Fourth Proportional to 130,066.96, 194,949.84 and 59,798.80

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Solution

The fourth proportional to 130,066.96, 194,949.84 and 59,798.80 is: 89,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,066.96 : 194,949.84 = 59,798.80 : x
  2. Step 2: Convert to fraction form
    130,066.96/194,949.84 = 59,798.80/x
  3. Step 3: Cross multiply
    130,066.96x = 194,949.84 × 59,798.80
  4. Step 4: Simplify right side
    130,066.96x = 11,657,766,492.19
  5. Step 5: Solve for x
    x = 11,657,766,492.19/130,066.96
  6. Step 6: Final answer
    x = 89,628.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.